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230680 = 2357379
BaseRepresentation
bin111000010100011000
3102201102201
4320110120
524340210
64535544
71650352
oct702430
9381381
10230680
1114834a
12b15b4
1380cc8
14600d2
154853a
hex38518

230680 has 32 divisors (see below), whose sum is σ = 532800. Its totient is φ = 89856.

The previous prime is 230663. The next prime is 230683. The reversal of 230680 is 86032.

230680 is nontrivially palindromic in base 3.

230680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230683) by changing a digit.

230680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2881 + ... + 2959.

It is an arithmetic number, because the mean of its divisors is an integer number (16650).

2230680 is an apocalyptic number.

230680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266400).

230680 is an abundant number, since it is smaller than the sum of its proper divisors (302120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230680 is a wasteful number, since it uses less digits than its factorization.

230680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 230680 is about 480.2915781065. The cubic root of 230680 is about 61.3295786401.

The spelling of 230680 in words is "two hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 73 79 146 158 292 316 365 395 584 632 730 790 1460 1580 2920 3160 5767 11534 23068 28835 46136 57670 115340 230680